Compact differences of weighted composition operators on the weighted Bergman spaces
Abstract In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse’s results in (J. Func...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1277-8 |
| _version_ | 1819237680287842304 |
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| author | Maocai Wang Xingxing Yao Fen Chen |
| author_facet | Maocai Wang Xingxing Yao Fen Chen |
| author_sort | Maocai Wang |
| collection | DOAJ |
| description | Abstract In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse’s results in (J. Funct. Anal. 219:70-92, 2005). |
| first_indexed | 2024-12-23T13:24:11Z |
| format | Article |
| id | doaj.art-d1c6965a86834009ae2756b3d51ac6e2 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-23T13:24:11Z |
| publishDate | 2017-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-d1c6965a86834009ae2756b3d51ac6e22022-12-21T17:45:21ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-01-012017111410.1186/s13660-016-1277-8Compact differences of weighted composition operators on the weighted Bergman spacesMaocai Wang0Xingxing Yao1Fen Chen2School of Computer, China University of GeosciencesSchool of Mathematics and Statistics, Wuhan UniversitySchool of Mathematics and Statistics, Wuhan UniversityAbstract In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse’s results in (J. Funct. Anal. 219:70-92, 2005).http://link.springer.com/article/10.1186/s13660-016-1277-8weighted Bergman spaceweighted composition operatorcompact difference |
| spellingShingle | Maocai Wang Xingxing Yao Fen Chen Compact differences of weighted composition operators on the weighted Bergman spaces Journal of Inequalities and Applications weighted Bergman space weighted composition operator compact difference |
| title | Compact differences of weighted composition operators on the weighted Bergman spaces |
| title_full | Compact differences of weighted composition operators on the weighted Bergman spaces |
| title_fullStr | Compact differences of weighted composition operators on the weighted Bergman spaces |
| title_full_unstemmed | Compact differences of weighted composition operators on the weighted Bergman spaces |
| title_short | Compact differences of weighted composition operators on the weighted Bergman spaces |
| title_sort | compact differences of weighted composition operators on the weighted bergman spaces |
| topic | weighted Bergman space weighted composition operator compact difference |
| url | http://link.springer.com/article/10.1186/s13660-016-1277-8 |
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